Use our free GCF of Fractions Calculator tool to compute the GCF of 48/36, 949/22, 215/149 i.e 1/59004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/36, 949/22, 215/149.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/36,949/22,215/149
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 48/36,949/22,215/149, numerators are 48,949,215
Denominators are 36,22,149
The GCF of 48,949,215 is 1 .
LCM of 36,22,149 is 59004.
The greatest common factor of 48/36,949/22,215/149 = [GCF of 48,949,215]/[LCM of 36,22,149]= 1/59004
Therefore, the GCF of 48/36,949/22,215/149 is 1/59004.
To find the highest common factor of 48,949,215, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 949 are 1, 13, 73, 949
The factors of 215 are 1, 5, 43, 215
The HCF of 48,949,215 is 1.
Lets's calculate GCF of 48,949,215
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 949
:1,13,73,949
Now, list down the factors of 215
:1,5,43,215
Greatest Common Factor
We found the factors 48,949,215 . The biggest common factor number is the GCF number.
So the greatest common factor 48,949,215 is 1.
Lets's calculate LCM of 36,22,149
2 | 36, 22, 149 |
18, 11, 149 |
∴ So the LCM of the given numbers is 2 x 18 x 11 x 149 = 59004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59004
Therefore, the GCF of Fractions 48/36,949/22,215/149 is 1/59004
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 36,22,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,22,149) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(36,22,149) x common factors =1 x 2 = 2
LCM(36,22,149) = ( 36 × 22 × 149 ) / 2
LCM(36,22,149) = 118008 / 2
LCM(36,22,149) = 59004
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,949,215?
The HCF of 48,949,215 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 48/36, 949/22, 215/149?
Answer: GCF of Numerators as per given numbers 48/36, 949/22, 215/149 is
GCF of Numerators i.e. for 48,949,215 is 1
LCM of denominators i.e. for 36,22,149 is 59004.
Thus, GCF of Fractions is 1/59004.Finally, GCF of Fractions for 48/36, 949/22, 215/149 is 1/59004.